Given that the mean is $9.5 and the standard deviation is $1.30, the standard error will be given by:
σ/√n
where
σ-standard deviation
n=sample size
thus, we shal have:
1.30/√20
=0.2906
Next we find the margin error
0.2906*2=0.581
thus the confidence interval will be:
(9.5+0.581, 9.5-0.581)
=(10.081,8.919)
Quilt
Step-by-step explanation:
The expression x^2 -7x + 10 can be written in factored form as given by Option C: (x-2)(x-5)
<h3>How to find the factors of a quadratic expression?</h3>
If the given quadratic expression is of the form 
then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:

Then writing b in terms of alpha and beta would help us getting common factors out.
Sometimes, it is not possible to find factors easily, so using the quadratic equation formula can help out without any trial and error.
For this case, we're provided the expression:

We can write 10 as multiple of -5 and -2 and
we can write -7 as sum of -5 and -2. Thus, we get:

Thus, the expression x^2 -7x + 10 can be written in factored form as given by Option C: (x-2)(x-5)
Learn more about factorization of quadratic expression here:
brainly.com/question/26675692
1.1 Factoring: 4x2+9y2+16z2-6xy-12yz-8xz
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -6xy-12yz
Group 2: 16z2-8xz
Group 3: 4x2+9y2
Pull out from each group separately :
Group 1: (x+2z) • (-6y)
Group 2: (x-2z) • (-8z)
Group 3: (4x2+9y2) • (1)
Looking for common sub-expressions :
Group 1: (x+2z) • (-6y)
Group 3: (4x2+9y2) • (1)
Group 2: (x-2z) • (-8z)
F(x)=1-x² and g(x)=√(11-4x)
(g+f)(2)=>
1-(2)²+√(11-4(2))
=√3-3
(f/g)(-1)
(1-(-1)²)/(√(11-4(-1))
=0
(g-f)(-1)
√(11-4*-1)-(1-(-1)²
=√15
(g×f)(2)
1-(2)²×√(11-4(2))
-3√3